Équations diophantiennes - Entraînement Olympiades Maths

!! Small mistake in the video: at 2:22, I forgot that x-y=1 and x+y=11 can also exist, so (10,1) is also a solution!! I'll show you two important reflexes to have when approaching Diophantine equations. Written article with solutions: https://mathrais.fr/equations-diophan... My video explaining infinite descent:    • 3 raisonnements mathématiques qu'on ne vou...   📖 Exercise sources: • POFM resources: https://maths-olympiques.fr/wp-conten... • "Expert Solutions" books by Arthur Engel ⏱️Time Codes: 0:00 Intro 0:47 Factorization 3:03 Exercises 1 3:14 Congruences 8:43 Exercises 2 9:14 Outro -------------------------- Mathrais is a channel offering popularization of mathematical topics of varying complexity. To stay up-to-date on videos and other news, feel free to subscribe and follow me using the following links: Support me with Tipee: https://fr.tipeee.com/mathrais Blog: https://mathrais.fr/ Twitter:   / mathrais   Discord Server:   / discord   --------------------------- Intro Music: Main Street by AudioCoffee | https://www.audiocoffee.net/ Music promoted by https://www.chosic.com/free-music/all/ Creative Commons CC BY-SA 3.0 https://creativecommons.org/licenses/... #math #generalcompetition #olympics